Search a number
-
+
42140040 = 2335379491
BaseRepresentation
bin1010000011000…
…0000110001000
32221021221021020
42200300012020
541241440130
64103112440
71021120155
oct240600610
987257236
1042140040
1121872488
1212142720
138965947
14584d22c
153a75e10
hex2830188

42140040 has 64 divisors (see below), whose sum is σ = 129850560. Its totient is φ = 10932480.

The previous prime is 42140029. The next prime is 42140047. The reversal of 42140040 is 4004124.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (42140047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306 + ... + 9185.

It is an arithmetic number, because the mean of its divisors is an integer number (2028915).

Almost surely, 242140040 is an apocalyptic number.

42140040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64925280).

42140040 is an abundant number, since it is smaller than the sum of its proper divisors (87710520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42140040 is a wasteful number, since it uses less digits than its factorization.

42140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9542 (or 9538 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 42140040 is about 6491.5360277826. The cubic root of 42140040 is about 347.9885714307.

Adding to 42140040 its reverse (4004124), we get a palindrome (46144164).

The spelling of 42140040 in words is "forty-two million, one hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 9491 18982 28473 37964 47455 56946 75928 94910 113892 142365 189820 227784 284730 351167 379640 569460 702334 1053501 1138920 1404668 1755835 2107002 2809336 3511670 4214004 5267505 7023340 8428008 10535010 14046680 21070020 42140040